Failure Mechanism and Factor of Safety for Spatially Variable Undrained Soil Slope

Table 1

Summary of 10 realizations of random fields at λ = 1, 2, 5, 10 m, and +∞ (unit: kPa).

λ		Su(1)	Su(2)	Su(3)	Su(4)	Su(5)	Su(6)	Su(7)	Su(8)	Su(9)	Su(10)	Su(11)	Su(12)
1 m	1	35.34	41.27	48.14	46.51	36.62	43.68	37.44	32.90	50.11	45.51	42.35	39.50
	2	39.70	41.43	40.83	48.10	43.06	32.80	37.60	35.40	35.79	40.79	27.92	27.15
	3	37.91	36.69	38.11	29.82	39.02	39.90	37.47	40.57	37.87	34.49	49.13	37.46
	4	40.31	42.14	27.35	28.56	31.39	41.25	37.20	54.87	27.96	28.47	49.78	48.67
	5	46.54	34.98	45.44	31.03	41.75	49.56	40.08	45.83	41.56	31.65	27.75	41.05
	6	41.87	47.64	36.21	44.43	42.86	37.63	46.52	40.58	37.70	36.67	41.59	55.30
	7	55.25	30.51	37.08	38.84	38.96	51.38	33.27	49.14	47.82	35.91	41.08	54.96
	8	31.33	35.33	47.30	48.99	34.94	34.16	39.82	36.56	34.19	41.36	44.26	38.81
	9	41.11	43.96	35.46	31.87	33.09	42.34	44.53	47.61	29.90	33.91	34.47	24.46
	10	39.29	48.32	33.16	28.89	37.82	35.96	31.67	33.69	31.06	31.81	22.88	25.78
2 m	1	68.98	68.34	55.57	42.55	41.36	33.96	38.88	41.37	41.13	42.19	36.44	30.86
	2	33.55	45.34	34.05	35.20	33.39	33.17	52.55	55.67	47.11	33.05	38.56	26.64
	3	51.44	37.55	32.40	30.65	50.63	32.48	40.10	37.30	46.48	36.41	35.59	33.12
	4	46.18	41.38	41.44	38.37	29.54	26.32	26.76	38.28	42.91	53.00	45.50	35.07
	5	29.36	56.05	56.01	49.98	32.13	34.64	57.97	69.71	42.99	36.94	32.28	38.21
	6	44.96	59.16	51.46	51.24	46.57	37.22	33.75	28.25	27.29	30.86	26.27	36.23
	7	43.51	42.95	48.62	74.73	70.31	46.11	47.84	32.84	41.74	44.41	42.52	54.09
	8	59.30	51.46	55.74	55.88	51.54	41.99	42.00	28.82	21.55	28.34	31.72	33.65
	9	31.38	41.88	42.08	41.04	42.50	31.79	46.63	54.74	44.92	32.61	44.99	51.01
	10	40.27	40.49	36.73	40.05	35.31	27.21	24.70	25.45	44.84	41.02	42.26	49.89
5 m	1	56.10	51.59	55.09	56.67	50.83	97.16	54.31	43.82	38.08	50.92	50.53	37.35
	2	47.67	54.61	75.21	84.40	83.19	72.97	65.79	55.86	44.54	43.38	39.85	35.91
	3	36.04	33.81	31.65	29.14	29.65	25.25	23.63	23.65	30.97	24.28	22.55	35.50
	4	35.94	37.06	25.38	25.48	31.08	29.23	33.04	31.42	31.95	38.11	32.27	27.15
	5	31.00	34.14	46.47	44.21	34.14	36.09	47.24	41.61	48.41	47.77	35.43	44.30
	6	35.50	28.15	33.65	44.28	51.85	56.94	52.14	51.59	50.26	47.54	46.69	44.48
	7	32.59	28.99	31.46	28.95	35.80	50.46	57.49	64.48	36.11	30.30	42.24	39.63
	8	38.88	43.92	38.25	25.12	28.82	39.07	37.61	42.50	51.40	52.15	78.55	70.54
	9	35.51	35.36	44.24	31.41	30.83	43.55	46.65	42.77	41.51	45.55	52.22	42.59
	10	29.05	23.60	28.92	38.44	42.17	42.71	36.37	39.31	39.01	51.32	58.52	53.11
10 m	1	66.09	60.84	61.25	58.90	62.85	46.29	42.29	39.96	35.28	37.58	38.75	36.51
	2	29.62	36.18	37.15	43.99	45.23	47.16	50.16	44.99	46.29	43.97	43.06	44.87
	3	60.99	58.23	54.25	66.73	64.74	65.90	71.98	58.77	48.80	47.30	44.74	37.76
	4	48.13	50.77	40.51	42.13	40.22	45.33	40.61	41.37	43.10	39.13	29.47	24.80
	5	59.30	53.31	61.66	53.22	49.84	43.10	32.99	33.22	34.62	37.38	29.61	30.36
	6	24.65	28.07	24.00	26.90	36.12	38.79	44.98	46.02	59.77	67.76	58.25	60.25
	7	21.94	24.91	25.84	27.47	31.38	34.88	34.33	33.91	41.66	50.61	45.53	39.60
	8	42.70	40.14	32.05	28.94	28.09	24.29	31.27	30.61	34.21	30.63	30.09	36.46
	9	36.03	40.09	46.20	50.38	55.96	57.94	57.10	55.33	51.09	36.67	37.84	38.67
	10	39.76	39.60	35.97	42.19	43.66	39.26	26.88	25.23	27.17	28.08	29.06	26.17
+∞	1	34.41	34.42	34.42	34.43	34.42	34.43	34.43	34.42	34.43	34.43	34.44	34.43
	2	40.16	40.16	40.16	40.17	40.17	40.17	40.17	40.17	40.16	40.16	40.16	40.15
	3	37.78	37.78	37.78	37.78	37.78	37.78	37.78	37.78	37.78	37.78	37.78	37.79
	4	40.98	40.98	40.97	40.96	40.96	40.96	40.96	40.97	40.96	40.95	40.96	40.97
	5	49.61	49.60	49.61	49.60	49.60	49.61	49.62	49.62	49.62	49.62	49.60	49.60
	6	43.11	43.11	43.11	43.11	43.12	43.12	43.12	43.13	43.12	43.12	43.13	43.13
	7	62.28	62.27	62.27	62.27	62.27	62.28	62.28	62.29	62.29	62.30	62.29	62.31
	8	29.33	29.33	29.33	29.34	29.34	29.33	29.33	29.33	29.33	29.33	29.34	29.34
	9	42.07	42.08	42.07	42.07	42.06	42.07	42.07	42.08	42.07	42.07	42.06	42.06
	10	39.61	39.62	39.61	39.61	39.61	39.61	39.60	39.60	39.59	39.59	39.57	39.56